*label_important*1. VECTOR CALCULUS

11 Chapters | 66 Solved Problems

#### *label_important* 1.1 Gradient

#### *label_important*1.2 Directional derivatives

#### *label_important* 1.3 Curl & Divergence

#### *label_important* 1.4 Solenoidal & Irrotational

#### *label_important* 1.5 Line Integral

#### *label_important* 1.6 Surface Integral

#### *label_important* 1.7 Volume Integral

#### *label_important* 1.8 Greens Theorem

#### *label_important* 1.9 Gauss Divergence Theorem

#### *label_important* 1.10 Stokes Theorem

*label_important*2. LAPLACE TRANSFORM

6 Chapters | 55 Solved Problems

#### *label_important* 2.1 Laplace transform

#### *label_important*2.2 Laplace Transform of Some Standard Functions

#### *label_important* 2.3 First, Second Shifting Theorem and Change of Scale Property

#### *label_important* 2.4 Transforms of Derivatives

#### *label_important* 2.5 Transforms of Integrals

#### *label_important* 2.6 Laplace Transform of Periodic Functions

#### *label_important* 2.7 Laplace Transform of Unit Step and Unit Impulse Functions

#### *label_important* 2.8 Inverse Laplace Transform

#### *label_important* 2.9 First and Second Shifting Theorem, Change of Scale of Property

#### *label_important* 2.10 Inverse Laplace Transform of Derivatives and Integrals

#### *label_important* 2.11 Multiplication by Power of s and Division by s

#### *label_important* 2.12 Convolution theorem

#### *label_important* 2.13 Solving Ordinary Equations by Laplace Transforms

*label_important*3. FOURIER SERIES AND FOURIER TRANSFORM (UPCOMING)

*label_important*4. PDE OF FIRST ORDER

8 Chapters | 61 Solved Problems

#### *label_important* 4.1 Formation of PDE's by elimination of arbitrary constants

#### *label_important*4.2 Formation of PDE's by elimination of arbitrary functions

#### *label_important* 4.3 Solutions of standard first order partial differential equations

#### *label_important* 4.4 First Order Linear(Lagrange's) Equation

*label_important*5. SECOND ORDER PDE AND APPLICATIONS

7 Chapters | 79 Solved Problems

#### *label_important* 5.1 Higher Order Partial Differential Equation

#### *label_important*5.2 Complementary Function for a Non-homogenous Linear Equation

#### *label_important* 5.3 Classification of second order PDE

#### *label_important* 5.4 Method of separation of variables

#### *label_important* 5.5 Solutions of One dimensional wave equation

#### *label_important*5.6 Solutions of One dimensional Heat equation